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What is the Least Common Multiple of 4533 and 4551?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 4533 and 4551 is 6876561.

LCM(4533,4551) = 6876561

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Least Common Multiple of 4533 and 4551 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4533 and 4551, than apply into the LCM equation.

GCF(4533,4551) = 3
LCM(4533,4551) = ( 4533 × 4551) / 3
LCM(4533,4551) = 20629683 / 3
LCM(4533,4551) = 6876561

Least Common Multiple (LCM) of 4533 and 4551 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4533 and 4551. First we will calculate the prime factors of 4533 and 4551.

Prime Factorization of 4533

Prime factors of 4533 are 3, 1511. Prime factorization of 4533 in exponential form is:

4533 = 31 × 15111

Prime Factorization of 4551

Prime factors of 4551 are 3, 37, 41. Prime factorization of 4551 in exponential form is:

4551 = 31 × 371 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 4533 and 4551.

LCM(4533,4551) = 31 × 15111 × 371 × 411
LCM(4533,4551) = 6876561